Shortlex automaticity and geodesic regularity in Artin groups

Derek F. Holt and Sarah Rees

Keywords

Artin groups, automatic group, geodesics, shortlex automatic, regular language

Status

Groups, Complexity and Cryptology 5 (2013) 1--23

Abstract

We extend results of \cite{HoltRees} and prove shortlex automaticity and regularity of geodesics in a family of Artin groups that includes all groups of large type but also allows some commuting pairs of generators. \


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